Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 577, 263, 10, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 263, 10, 918 is 1
GCD(577, 263, 10, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 263, 10, 918 is 1
GCD(577, 263, 10, 918) = 1
Given Input numbers are 577, 263, 10, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 577, 263, 10, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 263, 10, 918 is 1.
Therefore, GCD of numbers 577, 263, 10, 918 is 1
Given Input Data is 577, 263, 10, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 263 is 263
Prime Factorization of 10 is 2 x 5
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(577, 263) = 151751
GCD(577, 263) = ( 577 x 263 ) / 151751
GCD(577, 263) = 151751 / 151751
GCD(577, 263) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 577, 263, 10, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 263, 10, 918?
GCD of 577, 263, 10, 918 is 1
2. Where do I get the detailed procedure to find GCD of 577, 263, 10, 918?
You can find a detailed procedure to find GCD of 577, 263, 10, 918 on our page.
3. How to find GCD of 577, 263, 10, 918 on a calculator?
You can find the GCD of 577, 263, 10, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.